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Finding the Fourth Proportional to 3,100.76, 4,651.79 and 909.31

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Solution

The fourth proportional to 3,100.76, 4,651.79 and 909.31 is: 1,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.76 : 4,651.79 = 909.31 : x
  2. Step 2: Convert to fraction form
    3,100.76/4,651.79 = 909.31/x
  3. Step 3: Cross multiply
    3,100.76x = 4,651.79 × 909.31
  4. Step 4: Simplify right side
    3,100.76x = 4,229,919.16
  5. Step 5: Solve for x
    x = 4,229,919.16/3,100.76
  6. Step 6: Final answer
    x = 1,364.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.